Cumbria Police are reminding people that violence at the Appleby horse fair will not be tolerated.
The warning comes after 20 people were arrested on suspicion of conspiracy to cause grievous bodily harm.
“We work with our partners and the communities to facilitate a safe and enjoyable Appleby Horse Fair event.
"The vast majority of people come to the horse fair to enjoy the holiday event and I would appeal to people not to bring their disputes to this family oriented event.
“I would reassurance the public and visitors from all communities that today’s incident is a rare occurrence at Appleby Horse Fair.
"However, the action taken by officers sends out a strong message to anyone else who may consider visiting the fair with the intention of causing problems. It will not be tolerated."
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The historic event always takes place on the last Friday in July.